dc.identifier.uri |
http://dx.doi.org/10.15488/203 |
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dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/225 |
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dc.contributor.author |
Escher, Joachim
|
|
dc.contributor.author |
Yin, Zhaoyang
|
|
dc.date.accessioned |
2016-02-11T09:04:21Z |
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dc.date.available |
2016-02-11T09:04:21Z |
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dc.date.issued |
2008-10-29 |
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dc.identifier.citation |
Escher, Joachim; Yin, Zhaoyang: Well-posedness, blow-up phenomena, and global solutions for the b-equation. In: Journal für die reine und angewandte Mathematik 2008 (2008), Nr. 624, S. 51-80. DOI: http://dx.doi.org/10.1515/CRELLE.2008.080 |
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dc.description.abstract |
In the paper we first establish the local well-posedness for a family of nonlinear dispersive equations, the so called b-equation. Then we describe the precise blow-up scenario. Moreover, we prove that for the b-equation we do have the coexistence of global in time solutions and blow-up phenomena: Depending on the initial data solutions may exist for ever, while other data force the solution to produce a singularity in finite time. Finally, we prove the uniqueness and existence of global weak solution to the equation provided the initial data satisfy certain sign conditions. |
eng |
dc.description.sponsorship |
Alexander von Humboldt Foundation |
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dc.description.sponsorship |
NNSF of China/10531040 |
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dc.description.sponsorship |
NSF of Guangdong Province |
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dc.description.sponsorship |
SRF for ROCS |
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dc.language.iso |
eng |
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dc.publisher |
Berlin : Walter de Gruyter |
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dc.relation.ispartofseries |
Journal für die reine und angewandte Mathematik 2008 (2008), Nr. 624 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
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dc.subject |
degasperis-procesi equation |
eng |
dc.subject |
shallow-water equation |
eng |
dc.subject |
camassa-holm equation |
eng |
dc.subject |
korteweg-de-vries |
eng |
dc.subject |
integrable equation |
eng |
dc.subject |
peakon solutions |
eng |
dc.subject |
weak solutions |
eng |
dc.subject |
cauchy-problem |
eng |
dc.subject |
wave solutions |
eng |
dc.subject |
shock-waves |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Well-posedness, blow-up phenomena, and global solutions for the b-equation |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.essn |
1435-5345 |
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dc.relation.issn |
0075-4102 |
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dc.relation.doi |
http://dx.doi.org/10.1515/CRELLE.2008.080 |
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dc.bibliographicCitation.issue |
624 |
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dc.bibliographicCitation.volume |
2008 |
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dc.bibliographicCitation.firstPage |
51 |
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dc.bibliographicCitation.lastPage |
80 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
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